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Finding the Fourth Proportional to 2,378.83, 3,566.22 and 919.01

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Solution

The fourth proportional to 2,378.83, 3,566.22 and 919.01 is: 1,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.83 : 3,566.22 = 919.01 : x
  2. Step 2: Convert to fraction form
    2,378.83/3,566.22 = 919.01/x
  3. Step 3: Cross multiply
    2,378.83x = 3,566.22 × 919.01
  4. Step 4: Simplify right side
    2,378.83x = 3,277,391.84
  5. Step 5: Solve for x
    x = 3,277,391.84/2,378.83
  6. Step 6: Final answer
    x = 1,377.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.